Figure 8.

Distribution of the χ²-like discrepancy difference $\mathit{D}({\mathit{y}}_{\mathit{l}}^{\mathit{rep}},{\theta }_{\mathit{l}})-\mathit{D}(\mathit{y},{\theta }_{\mathit{l}})$ for linear regression model with empirical prior and real data. The ppp-value is the proportion of values above zero.